HS AP Calculus


Syllabus

AP Calculus AB Exam Date: May 14, 2019 8 am


Week 1 (Unit 1: Limits)
What is Calculus?
2.1 Average Rates of Change
2.1 Numerical Limit
2.2 Definition of a Limit
2.2 One Sided Limits vs. Two Sided Limits
2.3 Limit Rules
2.3 Limits Laws

Week 2 (Unit 1: Limits)
2.2 Graphical Limits
Review of Polynomial Division
2.3 Limits of Polynomials and Rational Functions pg. 97
Techniques of Finding Limits
  • Direct Substitution
  • Cancellation (Factoring)
  • Radical Conjugate
  • Algebraic Manipulation
  • Making use of the formal definition of an absolute values
Special Limit: lim as x-> 0 sin(x)/x = 1

Week 3 (Unit 1: Limits)
2.2 Infinite Limits (Sign Analysis/Limit Analysis)
2.6 Limits at Infinity
Special Limit: lim as x->inf 1/x = 0
2.6 Horizontal Asymptotes
2.2 Asymptotes

Week 4 (Unit 1: Limits)
SNOW DAY
Review of Exponentials and Logarithms
Piece-wise Functions
2.3 Squeeze Theorem pg. 101

Week 5 (Unit 1: Limits)
Review of Domain and Range
2.5 Continuity
2.5 Combinations of Continuous Functions pg. 117
2.5 Library of Continuous Functions pg. 120 Theorem 7
2.5 Intermediate Value Theorem pg. 122

Exam 1 on Monday February 11, 2019 (Practice Exam)